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Finding the Third Proportional to 576,496 and 916,067

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Solution

The third proportional to 576,496 and 916,067 is: 1,455,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,496 : 916,067 = 916,067 : x
  2. Step 2: Convert to fraction form
    576,496/916,067 = 916,067/x
  3. Step 3: Cross multiply
    576,496x = 916,067 × 916,067
  4. Step 4: Simplify right side
    576,496x = 839,178,748,489
  5. Step 5: Solve for x
    x = 839,178,748,489/576,496
  6. Step 6: Final answer
    x = 1,455,654.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.